OK, the real question here is what is the crow intending to accomplish?
I mean, the concept of revenge is meaningless in this context. They'll
just be reincarnated again since all she's doing is killing them. So
what's the point? In the original Crow, they could go on to a more or
less final "reward". Here it's just another turn of the Wheel.
It could be that the crow wants to kill the present day incarnations for
some reason having to do with things they are doing now, but that
doesn't cover the one who is now a nice guy. Perhaps the crow just
wants a killer killing people because it feeds on the killing and is
just using Akane's drive for revenge. Or maybe this is some kind of
bizarre psychotherapy designed to get Akane's soul over it so she can
move on and reincarnate properly...